A coil having an inductance of `1//pi` henry is connected in series with a resistance of `300 Omega`. If 20 volt from a 200 cycle source are impressed across the combination, the value of the phase angle between the voltage and the current is :

Options

A. `tan^(-1)((5)/(4))`
B. `tan^(-1)((4)/(5))`
C. `tan^(-1)((3)/(4))`
D. `tan^(-1)((4)/(3))`

Answer

D

Explanation

`tanphi=(X_(L))/(R)=(2pifL)/(R)=(2pixx200xx(1)/(pi))/(300)=(4)/(3)`
or `phi="tan"^(-1)(4)/(3)`